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antoniya [11.8K]
3 years ago
11

Evaluate [7 - (2 - 5(4 - 2) + 7)] + 2

Mathematics
2 answers:
motikmotik3 years ago
7 0
You are correct. here it is step by step.

[7-(2-5(2)+7)] +2
[7-(2-10+7)]+2
[7-(-1)]+2
8+2
10
Roman55 [17]3 years ago
3 0
Order of operations
PEMDAS
parethasees (inner to outer)
exponents
multiplication and division
addition and subtraction
remember thah yuo do all these left to right

so


[7-(2-5(4-2)+7)]+2
inner to outer
4-2=2

now we have
[7-(2-5(2)+7)]+2
multiply since no further parnthasees
2*5=10

now we have
[7-(2-10+7)]+2
add or subtract (subtraction is addition of a negative)
2-10=-8, and -8+7=-1

now we have
[7-(-1)]+2
last parenthsees/brackets
remember that subtracting a negative is the same as adding a positive
7-(-1)=7+1=8

now we have
[8]+2
add
10


yep, 10 is right
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Answer:

One Fourth

Step-by-step explanation:

Half of that would be one eighth and so on, the larger the denominator, the smaller the fraction.

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4 years ago
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A migrating bird flies 468 miles in 13 hours. how many miles does it fly in 3 hours?
ruslelena [56]

Answer:

The answer is 108mi

Step-by-step explanation:

to solve this problem, we need to write a ratio.

\frac{468mi}{13hrs}

to solve for 3 hours, we need to figure out how many miles the bird can fly in 1 hour. to do that, we need to divide the numerator and denominator by 13.

\frac{36mi}{1hr}

now we have a unit rate that represents distance covered per hour.

to solve for 3, we need to multiply the numerator and denominator by 3.

\frac{108mi}{3hrs}

the question is asking for <u>miles.</u> therefore, the bird can fly 108mi in 3 hrs.

hope this helps!

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3 years ago
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Use inverse functions where needed to find all solutions of the equation in the interval [0, 2π). (Enter your answers as a comma
Zina [86]
I'm assuming you meant:

tan^{2}x + tanx - 30 = 0
Let u = tan(x)

Thus, we can rewrite it into a quadratic.

u^{2} + u - 30 = 0
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u = -6 or u = 5

Hence, tan(x) = -6 or tan(x) = 5
x = tan^{-1}(-6) or x = tan^{-1}(5)

Rewriting it in general form, we get:
x = \pi \cdot n + tan^{-1}(5), n \in Z
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6 0
4 years ago
Which represents the solution to 7x &gt; 21 or 6x - 9 &lt; 21?
olganol [36]

Answer:

1) The correct option is the third line

2) The correct option is the third line please see attached graph

Step-by-step explanation:

For the system of inequalities,

7·x > 21 or 6·x -9 < 21 we have;

7·x > 21

x > 21/3 = 3

x > 3

Also we have for 6·x -9 < 21 we have;

6·x -9 < 21

6·x < 21 + 9

6·x < 30

x < 30/6 = 5

x < 5

The representation of the region x > 3 and the region x < 5 on the number line consists of indicating points 3 and 5 with  circles not filled to represent less than < and not less than or equal to ≤ and shading the potion of the number line in between the two points

Which gives the correct option as the third line which has an open circle at point 3 and 5

b) To graph the inequality v + 4 > 2 and 8·v - 20 ≤ 36

For the inequality v + 4 > 2, we have;

v > 2 - 4

v > - 2

For the inequality 8·v - 20 ≤ 36, we have;

8·v - 20 ≤ 36

8·v  ≤ 36 + 20              

8·v  ≤ 56

v ≤ 56/8

v ≤  7

The region representing v > -2 or v ≤ 7 on the number line consists of indicating points -2 with a circle (not filled) to represent less than < and point 7 with a filled circle to represent less than or equal to ≤ and shading the potion of the number line in between the two points

Which gives the correct option is the third line which has a closed circle at point -2 and an open circle at point 7

6 0
4 years ago
Check my answer please?
yaroslaw [1]
You are right Elrd23 .......................

4 0
4 years ago
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